QUADRATIC (ρ<sub>1</sub>, ρ<sub>2</sub>)-FUNCTIONAL EQUATION IN FUZZY BANACH SPACES
Quadratic(ρ1, p2)-functional Equation in Fuzzy Banach Spaces
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
Paokant, Siriluk
(Department of Mathematics, Research Institute for Natural Sciences, Hanyang University)
Shin, Dong Yun
(Department of Mathematics, University of Seoul)
In this paper, we consider the following quadratic (ρ<sub>1</sub>, ρ<sub>2</sub>)-functional equation (0, 1) <TEX>
</TEX>, where ρ<sub>2</sub> are fixed nonzero real numbers with ρ<sub>2</sub> ≠ 1 and 2ρ<sub>1</sub> + 2ρ<sub>2</sub>≠ 1, in fuzzy normed spaces. Using the fixed point method, we prove the Hyers-Ulam stability of the quadratic (ρ<sub>1</sub>, ρ<sub>2</sub>)-functional equation (0.1) in fuzzy Banach spaces.
keywords
fuzzy Banach space,quadratic (<tex> ${\rho}_1$</tex>,<tex> ${\rho}_2$</tex>)-functional equation,fixed point method,Hyers-Ulam stability